Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 75/54,869/13,694/638
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 75,869,694
Greatest Common Factor of Numerators i.e. GCF of 75,869,694 is 1 .
LCM of Denominators means LCM of 54,13,638 as per the given fractions.
LCM of 54,13,638 is 223938 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 75,869,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 75,869,694 . The biggest common factor number is the GCF number.
So the greatest common factor 75,869,694 is 1.
Lets's calculate LCM of 54,13,638
2 | 54, 13, 638 |
27, 13, 319 |
∴ So the LCM of the given numbers is 2 x 27 x 13 x 319 = 223938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223938
Therefore, the GCF of Fractions 75/54,869/13,694/638 is 1/223938
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 54,13,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,13,638) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,13,638) x common factors =1 x 2 = 2
LCM(54,13,638) = ( 54 × 13 × 638 ) / 2
LCM(54,13,638) = 447876 / 2
LCM(54,13,638) = 223938
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 75/54, 869/13, 694/638?
Answer: GCF of Numerators as per given numbers 75/54, 869/13, 694/638 is
GCF of Numerators i.e. for 75,869,694 is 1
LCM of denominators i.e. for 54,13,638 is 223938.
Thus, GCF of Fractions is 1/223938.Finally, GCF of Fractions for 75/54, 869/13, 694/638 is 1/223938.